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Finding the Third Proportional to 688,082 and 1,042,491

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Solution

The third proportional to 688,082 and 1,042,491 is: 1,579,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,082 : 1,042,491 = 1,042,491 : x
  2. Step 2: Convert to fraction form
    688,082/1,042,491 = 1,042,491/x
  3. Step 3: Cross multiply
    688,082x = 1,042,491 × 1,042,491
  4. Step 4: Simplify right side
    688,082x = 1,086,787,485,081
  5. Step 5: Solve for x
    x = 1,086,787,485,081/688,082
  6. Step 6: Final answer
    x = 1,579,444.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.